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Finding the Fourth Proportional to 29,397.74, 44,101.13 and 9,671.67

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Solution

The fourth proportional to 29,397.74, 44,101.13 and 9,671.67 is: 14,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,397.74 : 44,101.13 = 9,671.67 : x
  2. Step 2: Convert to fraction form
    29,397.74/44,101.13 = 9,671.67/x
  3. Step 3: Cross multiply
    29,397.74x = 44,101.13 × 9,671.67
  4. Step 4: Simplify right side
    29,397.74x = 426,531,527.63
  5. Step 5: Solve for x
    x = 426,531,527.63/29,397.74
  6. Step 6: Final answer
    x = 14,508.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.